Properties

Label 690.2.r.b.169.7
Level $690$
Weight $2$
Character 690.169
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 169.7
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(-2.14372 + 0.635975i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(2.47408 - 3.84974i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(-2.14372 + 0.635975i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(2.47408 - 3.84974i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(-2.21241 + 0.324418i) q^{10} +(-0.00211055 - 0.0146792i) q^{11} +(-0.989821 + 0.142315i) q^{12} +(-1.93109 - 3.00483i) q^{13} +(2.99677 - 3.45846i) q^{14} +(1.68580 - 1.46904i) q^{15} +(0.841254 + 0.540641i) q^{16} +(-0.817835 - 2.78529i) q^{17} +(0.755750 - 0.654861i) q^{18} +(7.13628 + 2.09540i) q^{19} +(-2.23606 + 0.00625769i) q^{20} +(-0.651260 + 4.52962i) q^{21} -0.0148302i q^{22} +(-4.29463 - 2.13452i) q^{23} -1.00000 q^{24} +(4.19107 - 2.72670i) q^{25} +(-1.48380 - 3.24907i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(3.45846 - 2.99677i) q^{28} +(6.47189 - 1.90032i) q^{29} +(1.87771 - 1.21417i) q^{30} +(1.24883 - 2.73455i) q^{31} +(0.755750 + 0.654861i) q^{32} +(0.00801779 + 0.0124759i) q^{33} +(-0.413122 - 2.87333i) q^{34} +(-2.85539 + 9.82622i) q^{35} +(0.841254 - 0.540641i) q^{36} +(2.52487 + 2.18781i) q^{37} +(6.76544 + 3.08967i) q^{38} +(3.00483 + 1.93109i) q^{39} +(-2.21419 - 0.312030i) q^{40} +(-2.38170 - 2.74863i) q^{41} +(-1.28926 + 4.39083i) q^{42} +(6.63915 - 3.03200i) q^{43} +(0.00211055 - 0.0146792i) q^{44} +(-0.923200 + 2.03659i) q^{45} +(-3.94714 - 2.72399i) q^{46} +0.920854i q^{47} +(-0.989821 - 0.142315i) q^{48} +(-5.79153 - 12.6817i) q^{49} +(4.53646 - 2.10250i) q^{50} +(1.90098 + 2.19385i) q^{51} +(-1.00631 - 3.42716i) q^{52} +(-4.07432 + 6.33977i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(0.0138600 + 0.0301259i) q^{55} +(3.84974 - 2.47408i) q^{56} +(-7.36185 + 1.05847i) q^{57} +(6.67646 - 0.959930i) q^{58} +(7.23748 - 4.65125i) q^{59} +(2.03139 - 0.934585i) q^{60} +(-2.74195 + 6.00403i) q^{61} +(1.62528 - 2.52899i) q^{62} +(-1.28926 - 4.39083i) q^{63} +(0.654861 + 0.755750i) q^{64} +(6.05070 + 5.21339i) q^{65} +(0.00616067 + 0.0134900i) q^{66} +(-5.29761 - 0.761682i) q^{67} -2.90288i q^{68} +(4.79324 + 0.157578i) q^{69} +(-4.22474 + 9.31983i) q^{70} +(-1.86038 + 12.9392i) q^{71} +(0.909632 - 0.415415i) q^{72} +(1.35080 - 4.60039i) q^{73} +(2.18781 + 2.52487i) q^{74} +(-2.67962 + 4.22133i) q^{75} +(6.25687 + 4.02105i) q^{76} +(-0.0617328 - 0.0281924i) q^{77} +(2.69942 + 2.33906i) q^{78} +(-13.4044 + 8.61449i) q^{79} +(-2.14725 - 0.623966i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-1.96629 - 3.05961i) q^{82} +(-10.6189 - 9.20132i) q^{83} +(-1.90102 + 4.16265i) q^{84} +(3.52458 + 5.45076i) q^{85} +(7.00307 - 2.05629i) q^{86} +(-5.09762 + 4.41711i) q^{87} +(0.00417814 - 0.0142294i) q^{88} +(-3.94429 - 8.63679i) q^{89} +(-1.20364 + 1.88448i) q^{90} -16.3455 q^{91} +(-3.51930 - 3.25800i) q^{92} +3.00621i q^{93} +(-0.131051 + 0.911481i) q^{94} +(-16.6308 + 0.0465419i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-4.85804 + 4.20952i) q^{97} +(-3.92779 - 13.3768i) q^{98} +(-0.0124759 - 0.00801779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{3}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.989821 + 0.142315i 0.699909 + 0.100632i
\(3\) −0.909632 + 0.415415i −0.525176 + 0.239840i
\(4\) 0.959493 + 0.281733i 0.479746 + 0.140866i
\(5\) −2.14372 + 0.635975i −0.958701 + 0.284417i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) 2.47408 3.84974i 0.935113 1.45506i 0.0451776 0.998979i \(-0.485615\pi\)
0.889936 0.456086i \(-0.150749\pi\)
\(8\) 0.909632 + 0.415415i 0.321603 + 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) −2.21241 + 0.324418i −0.699625 + 0.102590i
\(11\) −0.00211055 0.0146792i −0.000636355 0.00442595i 0.989501 0.144527i \(-0.0461662\pi\)
−0.990137 + 0.140102i \(0.955257\pi\)
\(12\) −0.989821 + 0.142315i −0.285737 + 0.0410828i
\(13\) −1.93109 3.00483i −0.535587 0.833390i 0.463009 0.886353i \(-0.346770\pi\)
−0.998596 + 0.0529637i \(0.983133\pi\)
\(14\) 2.99677 3.45846i 0.800920 0.924312i
\(15\) 1.68580 1.46904i 0.435272 0.379304i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) −0.817835 2.78529i −0.198354 0.675532i −0.997253 0.0740670i \(-0.976402\pi\)
0.798899 0.601465i \(-0.205416\pi\)
\(18\) 0.755750 0.654861i 0.178132 0.154352i
\(19\) 7.13628 + 2.09540i 1.63718 + 0.480718i 0.965560 0.260182i \(-0.0837825\pi\)
0.671616 + 0.740900i \(0.265601\pi\)
\(20\) −2.23606 + 0.00625769i −0.499998 + 0.00139926i
\(21\) −0.651260 + 4.52962i −0.142117 + 0.988443i
\(22\) 0.0148302i 0.00316180i
\(23\) −4.29463 2.13452i −0.895491 0.445079i
\(24\) −1.00000 −0.204124
\(25\) 4.19107 2.72670i 0.838214 0.545341i
\(26\) −1.48380 3.24907i −0.290997 0.637194i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) 3.45846 2.99677i 0.653587 0.566336i
\(29\) 6.47189 1.90032i 1.20180 0.352880i 0.381259 0.924468i \(-0.375491\pi\)
0.820541 + 0.571588i \(0.193672\pi\)
\(30\) 1.87771 1.21417i 0.342821 0.221676i
\(31\) 1.24883 2.73455i 0.224296 0.491139i −0.763710 0.645560i \(-0.776624\pi\)
0.988005 + 0.154421i \(0.0493513\pi\)
\(32\) 0.755750 + 0.654861i 0.133599 + 0.115764i
\(33\) 0.00801779 + 0.0124759i 0.00139572 + 0.00217178i
\(34\) −0.413122 2.87333i −0.0708499 0.492772i
\(35\) −2.85539 + 9.82622i −0.482649 + 1.66093i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) 2.52487 + 2.18781i 0.415086 + 0.359674i 0.837227 0.546856i \(-0.184176\pi\)
−0.422140 + 0.906531i \(0.638721\pi\)
\(38\) 6.76544 + 3.08967i 1.09750 + 0.501211i
\(39\) 3.00483 + 1.93109i 0.481158 + 0.309221i
\(40\) −2.21419 0.312030i −0.350094 0.0493363i
\(41\) −2.38170 2.74863i −0.371959 0.429264i 0.538652 0.842529i \(-0.318934\pi\)
−0.910611 + 0.413265i \(0.864388\pi\)
\(42\) −1.28926 + 4.39083i −0.198938 + 0.677519i
\(43\) 6.63915 3.03200i 1.01246 0.462375i 0.161090 0.986940i \(-0.448499\pi\)
0.851371 + 0.524565i \(0.175772\pi\)
\(44\) 0.00211055 0.0146792i 0.000318178 0.00221297i
\(45\) −0.923200 + 2.03659i −0.137623 + 0.303597i
\(46\) −3.94714 2.72399i −0.581974 0.401630i
\(47\) 0.920854i 0.134320i 0.997742 + 0.0671602i \(0.0213938\pi\)
−0.997742 + 0.0671602i \(0.978606\pi\)
\(48\) −0.989821 0.142315i −0.142868 0.0205414i
\(49\) −5.79153 12.6817i −0.827362 1.81167i
\(50\) 4.53646 2.10250i 0.641553 0.297338i
\(51\) 1.90098 + 2.19385i 0.266190 + 0.307200i
\(52\) −1.00631 3.42716i −0.139549 0.475262i
\(53\) −4.07432 + 6.33977i −0.559651 + 0.870835i −0.999631 0.0271733i \(-0.991349\pi\)
0.439979 + 0.898008i \(0.354986\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) 0.0138600 + 0.0301259i 0.00186889 + 0.00406217i
\(56\) 3.84974 2.47408i 0.514443 0.330613i
\(57\) −7.36185 + 1.05847i −0.975101 + 0.140198i
\(58\) 6.67646 0.959930i 0.876662 0.126045i
\(59\) 7.23748 4.65125i 0.942240 0.605541i 0.0232108 0.999731i \(-0.492611\pi\)
0.919029 + 0.394190i \(0.128975\pi\)
\(60\) 2.03139 0.934585i 0.262252 0.120654i
\(61\) −2.74195 + 6.00403i −0.351071 + 0.768737i 0.648899 + 0.760875i \(0.275230\pi\)
−0.999969 + 0.00786238i \(0.997497\pi\)
\(62\) 1.62528 2.52899i 0.206411 0.321181i
\(63\) −1.28926 4.39083i −0.162432 0.553192i
\(64\) 0.654861 + 0.755750i 0.0818576 + 0.0944687i
\(65\) 6.05070 + 5.21339i 0.750498 + 0.646641i
\(66\) 0.00616067 + 0.0134900i 0.000758326 + 0.00166050i
\(67\) −5.29761 0.761682i −0.647206 0.0930542i −0.189109 0.981956i \(-0.560560\pi\)
−0.458098 + 0.888902i \(0.651469\pi\)
\(68\) 2.90288i 0.352025i
\(69\) 4.79324 + 0.157578i 0.577039 + 0.0189702i
\(70\) −4.22474 + 9.31983i −0.504954 + 1.11393i
\(71\) −1.86038 + 12.9392i −0.220786 + 1.53560i 0.514289 + 0.857617i \(0.328056\pi\)
−0.735075 + 0.677986i \(0.762853\pi\)
\(72\) 0.909632 0.415415i 0.107201 0.0489571i
\(73\) 1.35080 4.60039i 0.158099 0.538435i −0.841900 0.539633i \(-0.818563\pi\)
0.999999 + 0.00119755i \(0.000381194\pi\)
\(74\) 2.18781 + 2.52487i 0.254328 + 0.293510i
\(75\) −2.67962 + 4.22133i −0.309416 + 0.487437i
\(76\) 6.25687 + 4.02105i 0.717712 + 0.461246i
\(77\) −0.0617328 0.0281924i −0.00703510 0.00321282i
\(78\) 2.69942 + 2.33906i 0.305649 + 0.264847i
\(79\) −13.4044 + 8.61449i −1.50811 + 0.969206i −0.514365 + 0.857571i \(0.671972\pi\)
−0.993749 + 0.111635i \(0.964391\pi\)
\(80\) −2.14725 0.623966i −0.240069 0.0697616i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) −1.96629 3.05961i −0.217140 0.337877i
\(83\) −10.6189 9.20132i −1.16557 1.00998i −0.999716 0.0238265i \(-0.992415\pi\)
−0.165858 0.986150i \(-0.553039\pi\)
\(84\) −1.90102 + 4.16265i −0.207418 + 0.454183i
\(85\) 3.52458 + 5.45076i 0.382295 + 0.591218i
\(86\) 7.00307 2.05629i 0.755160 0.221735i
\(87\) −5.09762 + 4.41711i −0.546522 + 0.473564i
\(88\) 0.00417814 0.0142294i 0.000445391 0.00151686i
\(89\) −3.94429 8.63679i −0.418094 0.915498i −0.995111 0.0987660i \(-0.968510\pi\)
0.577017 0.816732i \(-0.304217\pi\)
\(90\) −1.20364 + 1.88448i −0.126875 + 0.198641i
\(91\) −16.3455 −1.71347
\(92\) −3.51930 3.25800i −0.366912 0.339670i
\(93\) 3.00621i 0.311730i
\(94\) −0.131051 + 0.911481i −0.0135169 + 0.0940121i
\(95\) −16.6308 + 0.0465419i −1.70629 + 0.00477510i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) −4.85804 + 4.20952i −0.493259 + 0.427412i −0.865639 0.500669i \(-0.833087\pi\)
0.372380 + 0.928081i \(0.378542\pi\)
\(98\) −3.92779 13.3768i −0.396767 1.35126i
\(99\) −0.0124759 0.00801779i −0.00125388 0.000805818i
\(100\) 4.78951 1.43549i 0.478951 0.143549i
\(101\) −4.91898 + 5.67680i −0.489456 + 0.564863i −0.945720 0.324982i \(-0.894642\pi\)
0.456264 + 0.889845i \(0.349187\pi\)
\(102\) 1.56941 + 2.44205i 0.155395 + 0.241799i
\(103\) −19.7907 + 2.84547i −1.95003 + 0.280373i −0.999539 0.0303672i \(-0.990332\pi\)
−0.950495 + 0.310740i \(0.899423\pi\)
\(104\) −0.508327 3.53549i −0.0498455 0.346683i
\(105\) −1.48460 10.1244i −0.144882 0.988042i
\(106\) −4.93510 + 5.69541i −0.479339 + 0.553187i
\(107\) 8.01342 + 3.65961i 0.774687 + 0.353788i 0.763213 0.646147i \(-0.223621\pi\)
0.0114734 + 0.999934i \(0.496348\pi\)
\(108\) −0.540641 + 0.841254i −0.0520232 + 0.0809497i
\(109\) 6.68967 1.96426i 0.640754 0.188142i 0.0548139 0.998497i \(-0.482543\pi\)
0.585940 + 0.810354i \(0.300725\pi\)
\(110\) 0.00943161 + 0.0317917i 0.000899268 + 0.00303122i
\(111\) −3.20555 0.941236i −0.304258 0.0893381i
\(112\) 4.16265 1.90102i 0.393334 0.179629i
\(113\) 19.8624 + 2.85578i 1.86849 + 0.268649i 0.981263 0.192674i \(-0.0617161\pi\)
0.887232 + 0.461323i \(0.152625\pi\)
\(114\) −7.43755 −0.696591
\(115\) 10.5640 + 1.84455i 0.985096 + 0.172005i
\(116\) 6.74512 0.626268
\(117\) −3.53549 0.508327i −0.326856 0.0469948i
\(118\) 7.82576 3.57390i 0.720419 0.329004i
\(119\) −12.7460 3.74257i −1.16843 0.343081i
\(120\) 2.14372 0.635975i 0.195694 0.0580563i
\(121\) 10.5542 3.09900i 0.959474 0.281727i
\(122\) −3.56850 + 5.55270i −0.323077 + 0.502718i
\(123\) 3.30830 + 1.51085i 0.298299 + 0.136229i
\(124\) 1.96865 2.27194i 0.176790 0.204026i
\(125\) −7.25037 + 8.51071i −0.648493 + 0.761221i
\(126\) −0.651260 4.52962i −0.0580189 0.403530i
\(127\) 2.82813 0.406624i 0.250956 0.0360821i −0.0156886 0.999877i \(-0.504994\pi\)
0.266645 + 0.963795i \(0.414085\pi\)
\(128\) 0.540641 + 0.841254i 0.0477863 + 0.0743570i
\(129\) −4.77964 + 5.51600i −0.420824 + 0.485657i
\(130\) 5.24717 + 6.02143i 0.460208 + 0.528114i
\(131\) 4.49523 + 2.88891i 0.392750 + 0.252405i 0.722080 0.691810i \(-0.243186\pi\)
−0.329330 + 0.944215i \(0.606823\pi\)
\(132\) 0.00417814 + 0.0142294i 0.000363660 + 0.00123851i
\(133\) 25.7225 22.2886i 2.23042 1.93267i
\(134\) −5.13529 1.50786i −0.443622 0.130259i
\(135\) −0.00625769 2.23606i −0.000538576 0.192449i
\(136\) 0.413122 2.87333i 0.0354250 0.246386i
\(137\) 5.96460i 0.509590i 0.966995 + 0.254795i \(0.0820080\pi\)
−0.966995 + 0.254795i \(0.917992\pi\)
\(138\) 4.72203 + 0.838124i 0.401966 + 0.0713458i
\(139\) −8.45609 −0.717236 −0.358618 0.933484i \(-0.616752\pi\)
−0.358618 + 0.933484i \(0.616752\pi\)
\(140\) −5.50809 + 8.62373i −0.465519 + 0.728838i
\(141\) −0.382536 0.837638i −0.0322154 0.0705418i
\(142\) −3.68289 + 12.5428i −0.309061 + 1.05256i
\(143\) −0.0400328 + 0.0346887i −0.00334771 + 0.00290081i
\(144\) 0.959493 0.281733i 0.0799577 0.0234777i
\(145\) −12.6654 + 8.18971i −1.05180 + 0.680119i
\(146\) 1.99175 4.36133i 0.164839 0.360946i
\(147\) 10.5363 + 9.12978i 0.869021 + 0.753011i
\(148\) 1.80622 + 2.81053i 0.148470 + 0.231024i
\(149\) 1.17559 + 8.17640i 0.0963080 + 0.669837i 0.979592 + 0.200998i \(0.0644185\pi\)
−0.883284 + 0.468839i \(0.844672\pi\)
\(150\) −3.25310 + 3.79702i −0.265615 + 0.310025i
\(151\) −0.645427 + 0.414791i −0.0525241 + 0.0337552i −0.566639 0.823966i \(-0.691757\pi\)
0.514115 + 0.857721i \(0.328120\pi\)
\(152\) 5.62093 + 4.87056i 0.455918 + 0.395055i
\(153\) −2.64055 1.20590i −0.213476 0.0974911i
\(154\) −0.0570922 0.0366910i −0.00460062 0.00295664i
\(155\) −0.938029 + 6.65632i −0.0753443 + 0.534649i
\(156\) 2.33906 + 2.69942i 0.187275 + 0.216127i
\(157\) 5.52292 18.8093i 0.440777 1.50115i −0.377328 0.926080i \(-0.623157\pi\)
0.818105 0.575069i \(-0.195025\pi\)
\(158\) −14.4939 + 6.61916i −1.15308 + 0.526592i
\(159\) 1.07250 7.45939i 0.0850547 0.591568i
\(160\) −2.03659 0.923200i −0.161007 0.0729854i
\(161\) −18.8426 + 11.2522i −1.48500 + 0.886799i
\(162\) 1.00000i 0.0785674i
\(163\) 10.6817 + 1.53580i 0.836657 + 0.120293i 0.547309 0.836931i \(-0.315652\pi\)
0.289348 + 0.957224i \(0.406562\pi\)
\(164\) −1.51085 3.30830i −0.117977 0.258334i
\(165\) −0.0251223 0.0216458i −0.00195577 0.00168512i
\(166\) −9.20132 10.6189i −0.714161 0.824186i
\(167\) 3.69618 + 12.5880i 0.286019 + 0.974092i 0.969698 + 0.244309i \(0.0785610\pi\)
−0.683678 + 0.729784i \(0.739621\pi\)
\(168\) −2.47408 + 3.84974i −0.190879 + 0.297014i
\(169\) 0.100492 0.220048i 0.00773018 0.0169267i
\(170\) 2.71298 + 5.89688i 0.208076 + 0.452270i
\(171\) 6.25687 4.02105i 0.478475 0.307497i
\(172\) 7.22443 1.03872i 0.550857 0.0792013i
\(173\) 12.3234 1.77184i 0.936933 0.134711i 0.343100 0.939299i \(-0.388523\pi\)
0.593833 + 0.804588i \(0.297614\pi\)
\(174\) −5.67435 + 3.64669i −0.430172 + 0.276454i
\(175\) −0.128065 22.8806i −0.00968083 1.72961i
\(176\) 0.00616067 0.0134900i 0.000464378 0.00101685i
\(177\) −4.65125 + 7.23748i −0.349609 + 0.544002i
\(178\) −2.67500 9.11022i −0.200500 0.682840i
\(179\) −7.35888 8.49261i −0.550029 0.634767i 0.410861 0.911698i \(-0.365228\pi\)
−0.960890 + 0.276931i \(0.910683\pi\)
\(180\) −1.45958 + 1.69400i −0.108791 + 0.126263i
\(181\) 6.14801 + 13.4623i 0.456978 + 1.00064i 0.988166 + 0.153388i \(0.0490185\pi\)
−0.531188 + 0.847254i \(0.678254\pi\)
\(182\) −16.1791 2.32620i −1.19927 0.172430i
\(183\) 6.60051i 0.487923i
\(184\) −3.01982 3.72568i −0.222624 0.274661i
\(185\) −6.80401 3.08430i −0.500241 0.226763i
\(186\) −0.427828 + 2.97561i −0.0313699 + 0.218182i
\(187\) −0.0391598 + 0.0178837i −0.00286364 + 0.00130778i
\(188\) −0.259434 + 0.883553i −0.0189212 + 0.0644397i
\(189\) 2.99677 + 3.45846i 0.217983 + 0.251566i
\(190\) −16.4682 2.32074i −1.19473 0.168364i
\(191\) −2.36772 1.52164i −0.171322 0.110102i 0.452170 0.891932i \(-0.350650\pi\)
−0.623492 + 0.781830i \(0.714287\pi\)
\(192\) −0.909632 0.415415i −0.0656470 0.0299800i
\(193\) 15.9895 + 13.8550i 1.15095 + 0.997304i 0.999962 + 0.00876797i \(0.00279097\pi\)
0.150988 + 0.988536i \(0.451754\pi\)
\(194\) −5.40767 + 3.47530i −0.388248 + 0.249512i
\(195\) −7.66963 2.22871i −0.549234 0.159601i
\(196\) −1.98409 13.7997i −0.141721 0.985689i
\(197\) 12.5263 + 19.4914i 0.892464 + 1.38870i 0.921190 + 0.389114i \(0.127219\pi\)
−0.0287255 + 0.999587i \(0.509145\pi\)
\(198\) −0.0112079 0.00971169i −0.000796510 0.000690179i
\(199\) −7.62100 + 16.6877i −0.540238 + 1.18296i 0.420955 + 0.907081i \(0.361695\pi\)
−0.961193 + 0.275875i \(0.911032\pi\)
\(200\) 4.94505 0.739263i 0.349668 0.0522738i
\(201\) 5.13529 1.50786i 0.362216 0.106356i
\(202\) −5.67680 + 4.91898i −0.399418 + 0.346098i
\(203\) 8.69623 29.6166i 0.610356 2.07868i
\(204\) 1.20590 + 2.64055i 0.0844298 + 0.184875i
\(205\) 6.85376 + 4.37759i 0.478688 + 0.305744i
\(206\) −19.9942 −1.39306
\(207\) −4.42555 + 1.84785i −0.307597 + 0.128434i
\(208\) 3.57185i 0.247663i
\(209\) 0.0156973 0.109177i 0.00108581 0.00755196i
\(210\) −0.0286364 10.2326i −0.00197610 0.706119i
\(211\) −10.2713 3.01593i −0.707106 0.207625i −0.0916441 0.995792i \(-0.529212\pi\)
−0.615462 + 0.788167i \(0.711030\pi\)
\(212\) −5.69541 + 4.93510i −0.391162 + 0.338944i
\(213\) −3.68289 12.5428i −0.252347 0.859415i
\(214\) 7.41104 + 4.76279i 0.506608 + 0.325577i
\(215\) −12.3042 + 10.7221i −0.839140 + 0.731240i
\(216\) −0.654861 + 0.755750i −0.0445576 + 0.0514222i
\(217\) −7.43760 11.5731i −0.504897 0.785635i
\(218\) 6.90112 0.992232i 0.467403 0.0672024i
\(219\) 0.682344 + 4.74581i 0.0461085 + 0.320692i
\(220\) 0.00481118 + 0.0328104i 0.000324369 + 0.00221207i
\(221\) −6.79001 + 7.83609i −0.456745 + 0.527112i
\(222\) −3.03897 1.38785i −0.203963 0.0931466i
\(223\) −8.65920 + 13.4740i −0.579863 + 0.902285i −0.999987 0.00518222i \(-0.998350\pi\)
0.420123 + 0.907467i \(0.361987\pi\)
\(224\) 4.39083 1.28926i 0.293374 0.0861425i
\(225\) 0.683863 4.95301i 0.0455909 0.330201i
\(226\) 19.2538 + 5.65342i 1.28074 + 0.376060i
\(227\) −21.2364 + 9.69834i −1.40951 + 0.643701i −0.967399 0.253259i \(-0.918498\pi\)
−0.442111 + 0.896960i \(0.645770\pi\)
\(228\) −7.36185 1.05847i −0.487551 0.0700992i
\(229\) 9.72610 0.642719 0.321359 0.946957i \(-0.395860\pi\)
0.321359 + 0.946957i \(0.395860\pi\)
\(230\) 10.1939 + 3.32918i 0.672169 + 0.219520i
\(231\) 0.0678657 0.00446523
\(232\) 6.67646 + 0.959930i 0.438331 + 0.0630225i
\(233\) 4.22035 1.92737i 0.276485 0.126266i −0.272347 0.962199i \(-0.587800\pi\)
0.548832 + 0.835933i \(0.315073\pi\)
\(234\) −3.42716 1.00631i −0.224041 0.0657843i
\(235\) −0.585640 1.97405i −0.0382029 0.128773i
\(236\) 8.25472 2.42380i 0.537337 0.157776i
\(237\) 8.61449 13.4044i 0.559571 0.870710i
\(238\) −12.0837 5.51843i −0.783268 0.357706i
\(239\) 15.8634 18.3073i 1.02612 1.18420i 0.0434049 0.999058i \(-0.486179\pi\)
0.982711 0.185144i \(-0.0592751\pi\)
\(240\) 2.21241 0.324418i 0.142810 0.0209411i
\(241\) −1.77061 12.3149i −0.114055 0.793271i −0.963905 0.266246i \(-0.914216\pi\)
0.849850 0.527025i \(-0.176693\pi\)
\(242\) 10.8878 1.56543i 0.699895 0.100630i
\(243\) 0.540641 + 0.841254i 0.0346821 + 0.0539664i
\(244\) −4.32241 + 4.98833i −0.276714 + 0.319345i
\(245\) 20.4807 + 23.5027i 1.30846 + 1.50153i
\(246\) 3.05961 + 1.96629i 0.195073 + 0.125366i
\(247\) −7.48445 25.4897i −0.476224 1.62187i
\(248\) 2.27194 1.96865i 0.144268 0.125009i
\(249\) 13.4816 + 3.95857i 0.854365 + 0.250864i
\(250\) −8.38777 + 7.39225i −0.530489 + 0.467527i
\(251\) 0.980076 6.81658i 0.0618618 0.430258i −0.935229 0.354042i \(-0.884807\pi\)
0.997091 0.0762163i \(-0.0242840\pi\)
\(252\) 4.57619i 0.288273i
\(253\) −0.0222691 + 0.0675467i −0.00140004 + 0.00424663i
\(254\) 2.85722 0.179278
\(255\) −5.47040 3.49402i −0.342570 0.218804i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) 0.217513 0.740781i 0.0135681 0.0462086i −0.952431 0.304755i \(-0.901425\pi\)
0.965999 + 0.258547i \(0.0832435\pi\)
\(258\) −5.51600 + 4.77964i −0.343411 + 0.297568i
\(259\) 14.6692 4.30728i 0.911502 0.267641i
\(260\) 4.33683 + 6.70689i 0.268959 + 0.415944i
\(261\) 2.80202 6.13557i 0.173441 0.379782i
\(262\) 4.03834 + 3.49924i 0.249489 + 0.216184i
\(263\) −1.04841 1.63135i −0.0646476 0.100594i 0.807425 0.589970i \(-0.200861\pi\)
−0.872072 + 0.489377i \(0.837224\pi\)
\(264\) 0.00211055 + 0.0146792i 0.000129895 + 0.000903443i
\(265\) 4.70227 16.1819i 0.288858 0.994044i
\(266\) 28.6326 18.4011i 1.75558 1.12824i
\(267\) 7.17571 + 6.21779i 0.439146 + 0.380522i
\(268\) −4.86843 2.22334i −0.297387 0.135812i
\(269\) 4.33368 + 2.78509i 0.264229 + 0.169810i 0.666047 0.745910i \(-0.267985\pi\)
−0.401818 + 0.915720i \(0.631621\pi\)
\(270\) 0.312030 2.21419i 0.0189896 0.134751i
\(271\) 5.14236 + 5.93460i 0.312376 + 0.360501i 0.890127 0.455712i \(-0.150615\pi\)
−0.577751 + 0.816213i \(0.696070\pi\)
\(272\) 0.817835 2.78529i 0.0495885 0.168883i
\(273\) 14.8684 6.79015i 0.899874 0.410959i
\(274\) −0.848851 + 5.90389i −0.0512809 + 0.356667i
\(275\) −0.0488713 0.0557668i −0.00294705 0.00336286i
\(276\) 4.55469 + 1.50161i 0.274160 + 0.0903862i
\(277\) 0.855020i 0.0513732i 0.999670 + 0.0256866i \(0.00817719\pi\)
−0.999670 + 0.0256866i \(0.991823\pi\)
\(278\) −8.37002 1.20343i −0.502000 0.0721768i
\(279\) −1.24883 2.73455i −0.0747652 0.163713i
\(280\) −6.67931 + 7.75207i −0.399165 + 0.463275i
\(281\) −12.6069 14.5491i −0.752065 0.867929i 0.242702 0.970101i \(-0.421966\pi\)
−0.994767 + 0.102172i \(0.967421\pi\)
\(282\) −0.259434 0.883553i −0.0154491 0.0526148i
\(283\) −5.53606 + 8.61428i −0.329085 + 0.512066i −0.965888 0.258961i \(-0.916620\pi\)
0.636803 + 0.771026i \(0.280256\pi\)
\(284\) −5.43042 + 11.8910i −0.322236 + 0.705599i
\(285\) 15.1086 6.95103i 0.894955 0.411743i
\(286\) −0.0445621 + 0.0286383i −0.00263501 + 0.00169342i
\(287\) −16.4740 + 2.36861i −0.972431 + 0.139815i
\(288\) 0.989821 0.142315i 0.0583258 0.00838598i
\(289\) 7.21233 4.63508i 0.424255 0.272652i
\(290\) −13.7020 + 6.30388i −0.804608 + 0.370177i
\(291\) 2.67033 5.84721i 0.156538 0.342770i
\(292\) 2.59216 4.03348i 0.151695 0.236042i
\(293\) 4.80460 + 16.3630i 0.280688 + 0.955935i 0.972314 + 0.233679i \(0.0750765\pi\)
−0.691626 + 0.722256i \(0.743105\pi\)
\(294\) 9.12978 + 10.5363i 0.532459 + 0.614491i
\(295\) −12.5571 + 14.5738i −0.731100 + 0.848521i
\(296\) 1.38785 + 3.03897i 0.0806673 + 0.176637i
\(297\) 0.0146792 + 0.00211055i 0.000851774 + 0.000122467i
\(298\) 8.26048i 0.478517i
\(299\) 1.87942 + 17.0266i 0.108689 + 0.984672i
\(300\) −3.76036 + 3.29540i −0.217105 + 0.190260i
\(301\) 4.75337 33.0604i 0.273979 1.90557i
\(302\) −0.697888 + 0.318715i −0.0401590 + 0.0183400i
\(303\) 2.11623 7.20722i 0.121574 0.414044i
\(304\) 4.87056 + 5.62093i 0.279346 + 0.322382i
\(305\) 2.05956 14.6148i 0.117930 0.836839i
\(306\) −2.44205 1.56941i −0.139603 0.0897174i
\(307\) 26.1517 + 11.9431i 1.49256 + 0.681629i 0.983798 0.179279i \(-0.0573765\pi\)
0.508761 + 0.860908i \(0.330104\pi\)
\(308\) −0.0512895 0.0444426i −0.00292249 0.00253235i
\(309\) 16.8202 10.8097i 0.956867 0.614941i
\(310\) −1.87577 + 6.45507i −0.106537 + 0.366624i
\(311\) 0.681277 + 4.73839i 0.0386317 + 0.268689i 0.999978 0.00665332i \(-0.00211783\pi\)
−0.961346 + 0.275343i \(0.911209\pi\)
\(312\) 1.93109 + 3.00483i 0.109326 + 0.170115i
\(313\) 14.6429 + 12.6882i 0.827668 + 0.717178i 0.961791 0.273786i \(-0.0882761\pi\)
−0.134123 + 0.990965i \(0.542822\pi\)
\(314\) 8.14356 17.8319i 0.459567 1.00631i
\(315\) 5.55627 + 8.59276i 0.313061 + 0.484147i
\(316\) −15.2884 + 4.48909i −0.860041 + 0.252531i
\(317\) −5.01542 + 4.34588i −0.281694 + 0.244089i −0.784235 0.620464i \(-0.786944\pi\)
0.502541 + 0.864554i \(0.332399\pi\)
\(318\) 2.12317 7.23084i 0.119061 0.405485i
\(319\) −0.0415544 0.0909915i −0.00232660 0.00509455i
\(320\) −1.88448 1.20364i −0.105345 0.0672856i
\(321\) −8.80952 −0.491699
\(322\) −20.2522 + 8.45610i −1.12861 + 0.471240i
\(323\) 21.5903i 1.20132i
\(324\) 0.142315 0.989821i 0.00790638 0.0549901i
\(325\) −16.2866 7.32795i −0.903418 0.406482i
\(326\) 10.3544 + 3.04033i 0.573479 + 0.168388i
\(327\) −5.26915 + 4.56575i −0.291385 + 0.252486i
\(328\) −1.02465 3.48964i −0.0565768 0.192683i
\(329\) 3.54505 + 2.27826i 0.195445 + 0.125605i
\(330\) −0.0217860 0.0250007i −0.00119928 0.00137624i
\(331\) −6.49261 + 7.49288i −0.356866 + 0.411846i −0.905587 0.424160i \(-0.860569\pi\)
0.548721 + 0.836006i \(0.315115\pi\)
\(332\) −7.59644 11.8203i −0.416909 0.648723i
\(333\) 3.30688 0.475457i 0.181216 0.0260549i
\(334\) 1.86710 + 12.9859i 0.102163 + 0.710559i
\(335\) 11.8410 1.73632i 0.646943 0.0948651i
\(336\) −2.99677 + 3.45846i −0.163487 + 0.188674i
\(337\) −4.22162 1.92795i −0.229966 0.105022i 0.297100 0.954846i \(-0.403981\pi\)
−0.527066 + 0.849824i \(0.676708\pi\)
\(338\) 0.130786 0.203506i 0.00711380 0.0110693i
\(339\) −19.2538 + 5.65342i −1.04572 + 0.307052i
\(340\) 1.84616 + 6.22295i 0.100122 + 0.337487i
\(341\) −0.0427767 0.0125604i −0.00231649 0.000680182i
\(342\) 6.76544 3.08967i 0.365833 0.167070i
\(343\) −31.4426 4.52076i −1.69774 0.244098i
\(344\) 7.29872 0.393521
\(345\) −10.3756 + 2.71058i −0.558603 + 0.145933i
\(346\) 12.4502 0.669325
\(347\) 2.53653 + 0.364698i 0.136168 + 0.0195780i 0.210062 0.977688i \(-0.432633\pi\)
−0.0738937 + 0.997266i \(0.523543\pi\)
\(348\) −6.13557 + 2.80202i −0.328901 + 0.150204i
\(349\) −11.4008 3.34757i −0.610269 0.179191i −0.0380281 0.999277i \(-0.512108\pi\)
−0.572241 + 0.820085i \(0.693926\pi\)
\(350\) 3.12949 22.6659i 0.167278 1.21155i
\(351\) 3.42716 1.00631i 0.182928 0.0537126i
\(352\) 0.00801779 0.0124759i 0.000427349 0.000664969i
\(353\) −7.73691 3.53333i −0.411794 0.188060i 0.198736 0.980053i \(-0.436316\pi\)
−0.610530 + 0.791993i \(0.709044\pi\)
\(354\) −5.63391 + 6.50187i −0.299439 + 0.345571i
\(355\) −4.24089 28.9212i −0.225083 1.53498i
\(356\) −1.35125 9.39818i −0.0716163 0.498102i
\(357\) 13.1489 1.89053i 0.695914 0.100057i
\(358\) −6.07536 9.45344i −0.321093 0.499630i
\(359\) 3.36968 3.88882i 0.177845 0.205244i −0.659827 0.751417i \(-0.729371\pi\)
0.837672 + 0.546173i \(0.183916\pi\)
\(360\) −1.68580 + 1.46904i −0.0888496 + 0.0774250i
\(361\) 30.5520 + 19.6346i 1.60800 + 1.03340i
\(362\) 4.16955 + 14.2002i 0.219147 + 0.746346i
\(363\) −8.31308 + 7.20332i −0.436323 + 0.378076i
\(364\) −15.6834 4.60505i −0.822031 0.241370i
\(365\) 0.0300032 + 10.7210i 0.00157044 + 0.561164i
\(366\) 0.939350 6.53332i 0.0491006 0.341502i
\(367\) 25.1961i 1.31523i −0.753355 0.657614i \(-0.771566\pi\)
0.753355 0.657614i \(-0.228434\pi\)
\(368\) −2.45886 4.11753i −0.128177 0.214641i
\(369\) −3.63696 −0.189333
\(370\) −6.29581 4.02122i −0.327304 0.209053i
\(371\) 14.3263 + 31.3702i 0.743783 + 1.62866i
\(372\) −0.846947 + 2.88444i −0.0439122 + 0.149551i
\(373\) −13.3694 + 11.5847i −0.692242 + 0.599831i −0.928266 0.371916i \(-0.878701\pi\)
0.236025 + 0.971747i \(0.424155\pi\)
\(374\) −0.0413063 + 0.0121286i −0.00213590 + 0.000627156i
\(375\) 3.05969 10.7535i 0.158002 0.555310i
\(376\) −0.382536 + 0.837638i −0.0197278 + 0.0431979i
\(377\) −18.2079 15.7772i −0.937755 0.812570i
\(378\) 2.47408 + 3.84974i 0.127253 + 0.198009i
\(379\) 4.48220 + 31.1744i 0.230235 + 1.60132i 0.697087 + 0.716987i \(0.254479\pi\)
−0.466852 + 0.884336i \(0.654612\pi\)
\(380\) −15.9703 4.64078i −0.819257 0.238067i
\(381\) −2.40364 + 1.54473i −0.123142 + 0.0791388i
\(382\) −2.12707 1.84312i −0.108830 0.0943020i
\(383\) 31.8123 + 14.5282i 1.62553 + 0.742355i 0.999305 0.0372863i \(-0.0118714\pi\)
0.626226 + 0.779641i \(0.284599\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) 0.150267 + 0.0211762i 0.00765834 + 0.00107924i
\(386\) 13.8550 + 15.9895i 0.705200 + 0.813844i
\(387\) 2.05629 7.00307i 0.104527 0.355986i
\(388\) −5.84721 + 2.67033i −0.296847 + 0.135566i
\(389\) 3.46164 24.0762i 0.175512 1.22071i −0.691482 0.722394i \(-0.743042\pi\)
0.866994 0.498319i \(-0.166049\pi\)
\(390\) −7.27439 3.29753i −0.368353 0.166977i
\(391\) −2.43297 + 13.7075i −0.123041 + 0.693216i
\(392\) 13.9416i 0.704155i
\(393\) −5.28910 0.760458i −0.266800 0.0383600i
\(394\) 9.62492 + 21.0756i 0.484897 + 1.06178i
\(395\) 23.2567 26.9919i 1.17017 1.35811i
\(396\) −0.00971169 0.0112079i −0.000488031 0.000563217i
\(397\) 2.93854 + 10.0077i 0.147481 + 0.502274i 0.999784 0.0207739i \(-0.00661300\pi\)
−0.852303 + 0.523048i \(0.824795\pi\)
\(398\) −9.91833 + 15.4332i −0.497161 + 0.773597i
\(399\) −14.1389 + 30.9600i −0.707832 + 1.54994i
\(400\) 4.99992 0.0279851i 0.249996 0.00139926i
\(401\) −6.69952 + 4.30552i −0.334558 + 0.215007i −0.697124 0.716951i \(-0.745537\pi\)
0.362566 + 0.931958i \(0.381901\pi\)
\(402\) 5.29761 0.761682i 0.264221 0.0379892i
\(403\) −10.6284 + 1.52814i −0.529440 + 0.0761220i
\(404\) −6.31906 + 4.06101i −0.314385 + 0.202043i
\(405\) 0.934585 + 2.03139i 0.0464399 + 0.100941i
\(406\) 12.8226 28.0776i 0.636375 1.39347i
\(407\) 0.0267865 0.0416806i 0.00132776 0.00206603i
\(408\) 0.817835 + 2.78529i 0.0404889 + 0.137892i
\(409\) −7.84771 9.05674i −0.388044 0.447827i 0.527795 0.849372i \(-0.323019\pi\)
−0.915839 + 0.401545i \(0.868473\pi\)
\(410\) 6.16101 + 5.30843i 0.304270 + 0.262165i
\(411\) −2.47778 5.42559i −0.122220 0.267624i
\(412\) −19.7907 2.84547i −0.975017 0.140186i
\(413\) 39.3700i 1.93727i
\(414\) −4.64348 + 1.19922i −0.228214 + 0.0589383i
\(415\) 28.6157 + 12.9717i 1.40469 + 0.636756i
\(416\) 0.508327 3.53549i 0.0249228 0.173342i
\(417\) 7.69193 3.51279i 0.376675 0.172022i
\(418\) 0.0310751 0.105832i 0.00151993 0.00517642i
\(419\) −20.9279 24.1521i −1.02240 1.17991i −0.983545 0.180664i \(-0.942175\pi\)
−0.0388521 0.999245i \(-0.512370\pi\)
\(420\) 1.42791 10.1326i 0.0696750 0.494418i
\(421\) 25.0834 + 16.1201i 1.22249 + 0.785646i 0.982705 0.185181i \(-0.0592870\pi\)
0.239784 + 0.970826i \(0.422923\pi\)
\(422\) −9.73755 4.44699i −0.474016 0.216476i
\(423\) 0.695935 + 0.603031i 0.0338375 + 0.0293204i
\(424\) −6.33977 + 4.07432i −0.307887 + 0.197867i
\(425\) −11.0223 9.44335i −0.534658 0.458070i
\(426\) −1.86038 12.9392i −0.0901356 0.626907i
\(427\) 16.3302 + 25.4102i 0.790272 + 1.22969i
\(428\) 6.65779 + 5.76901i 0.321816 + 0.278856i
\(429\) 0.0220050 0.0481842i 0.00106241 0.00232635i
\(430\) −13.7049 + 8.86188i −0.660908 + 0.427358i
\(431\) 6.31202 1.85338i 0.304040 0.0892741i −0.126154 0.992011i \(-0.540263\pi\)
0.430194 + 0.902737i \(0.358445\pi\)
\(432\) −0.755750 + 0.654861i −0.0363610 + 0.0315070i
\(433\) 0.0310993 0.105915i 0.00149454 0.00508993i −0.958742 0.284277i \(-0.908247\pi\)
0.960237 + 0.279187i \(0.0900648\pi\)
\(434\) −5.71487 12.5138i −0.274322 0.600682i
\(435\) 8.11870 12.7110i 0.389262 0.609446i
\(436\) 6.97209 0.333903
\(437\) −26.1750 24.2315i −1.25212 1.15915i
\(438\) 4.79461i 0.229095i
\(439\) 0.254332 1.76892i 0.0121386 0.0844258i −0.982852 0.184398i \(-0.940966\pi\)
0.994990 + 0.0999725i \(0.0318755\pi\)
\(440\) 9.28025e−5 0.0331611i 4.42418e−6 0.00158089i
\(441\) −13.3768 3.92779i −0.636992 0.187038i
\(442\) −7.83609 + 6.79001i −0.372725 + 0.322968i
\(443\) 6.99475 + 23.8219i 0.332331 + 1.13181i 0.941005 + 0.338394i \(0.109884\pi\)
−0.608674 + 0.793421i \(0.708298\pi\)
\(444\) −2.81053 1.80622i −0.133382 0.0857193i
\(445\) 13.9482 + 16.0064i 0.661210 + 0.758776i
\(446\) −10.4886 + 12.1045i −0.496650 + 0.573165i
\(447\) −4.46595 6.94916i −0.211232 0.328684i
\(448\) 4.52962 0.651260i 0.214004 0.0307692i
\(449\) −3.39760 23.6308i −0.160343 1.11521i −0.897988 0.440020i \(-0.854971\pi\)
0.737645 0.675188i \(-0.235938\pi\)
\(450\) 1.38179 4.80527i 0.0651382 0.226523i
\(451\) −0.0353210 + 0.0407626i −0.00166320 + 0.00191944i
\(452\) 18.2532 + 8.33598i 0.858560 + 0.392091i
\(453\) 0.414791 0.645427i 0.0194886 0.0303248i
\(454\) −22.4005 + 6.57737i −1.05131 + 0.308691i
\(455\) 35.0401 10.3953i 1.64271 0.487339i
\(456\) −7.13628 2.09540i −0.334187 0.0981262i
\(457\) −5.85944 + 2.67591i −0.274093 + 0.125174i −0.547720 0.836662i \(-0.684504\pi\)
0.273627 + 0.961836i \(0.411777\pi\)
\(458\) 9.62710 + 1.38417i 0.449845 + 0.0646780i
\(459\) 2.90288 0.135495
\(460\) 9.61640 + 4.74605i 0.448367 + 0.221286i
\(461\) −10.1128 −0.470998 −0.235499 0.971875i \(-0.575672\pi\)
−0.235499 + 0.971875i \(0.575672\pi\)
\(462\) 0.0671749 + 0.00965829i 0.00312526 + 0.000449344i
\(463\) −9.79466 + 4.47307i −0.455196 + 0.207881i −0.629800 0.776758i \(-0.716863\pi\)
0.174603 + 0.984639i \(0.444136\pi\)
\(464\) 6.47189 + 1.90032i 0.300450 + 0.0882201i
\(465\) −1.91187 6.44447i −0.0886611 0.298855i
\(466\) 4.45169 1.30713i 0.206221 0.0605518i
\(467\) 17.5752 27.3475i 0.813283 1.26549i −0.147741 0.989026i \(-0.547200\pi\)
0.961023 0.276467i \(-0.0891635\pi\)
\(468\) −3.24907 1.48380i −0.150188 0.0685886i
\(469\) −16.0390 + 18.5100i −0.740611 + 0.854711i
\(470\) −0.298742 2.03730i −0.0137799 0.0939739i
\(471\) 2.78986 + 19.4039i 0.128550 + 0.894084i
\(472\) 8.51564 1.22436i 0.391964 0.0563560i
\(473\) −0.0585196 0.0910582i −0.00269073 0.00418686i
\(474\) 10.4345 12.0420i 0.479270 0.553108i
\(475\) 35.6222 10.6766i 1.63446 0.489874i
\(476\) −11.1753 7.18194i −0.512220 0.329184i
\(477\) 2.12317 + 7.23084i 0.0972130 + 0.331077i
\(478\) 18.3073 15.8634i 0.837357 0.725574i
\(479\) 12.4206 + 3.64701i 0.567511 + 0.166636i 0.552886 0.833257i \(-0.313526\pi\)
0.0146250 + 0.999893i \(0.495345\pi\)
\(480\) 2.23606 0.00625769i 0.102062 0.000285623i
\(481\) 1.69826 11.8117i 0.0774340 0.538565i
\(482\) 12.4415i 0.566696i
\(483\) 12.4655 18.0629i 0.567199 0.821889i
\(484\) 10.9998 0.499990
\(485\) 7.73713 12.1136i 0.351325 0.550051i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) 2.69127 9.16562i 0.121953 0.415334i −0.875774 0.482722i \(-0.839648\pi\)
0.997727 + 0.0673877i \(0.0214664\pi\)
\(488\) −4.98833 + 4.32241i −0.225811 + 0.195666i
\(489\) −10.3544 + 3.04033i −0.468243 + 0.137489i
\(490\) 16.9274 + 26.1782i 0.764702 + 1.18261i
\(491\) −5.76985 + 12.6342i −0.260390 + 0.570174i −0.993998 0.109399i \(-0.965107\pi\)
0.733608 + 0.679573i \(0.237835\pi\)
\(492\) 2.74863 + 2.38170i 0.123918 + 0.107375i
\(493\) −10.5859 16.4719i −0.476764 0.741859i
\(494\) −3.78071 26.2954i −0.170102 1.18309i
\(495\) 0.0318440 + 0.00925352i 0.00143128 + 0.000415915i
\(496\) 2.52899 1.62528i 0.113555 0.0729772i
\(497\) 45.2099 + 39.1746i 2.02794 + 1.75722i
\(498\) 12.7811 + 5.83692i 0.572733 + 0.261558i
\(499\) 23.7810 + 15.2831i 1.06458 + 0.684167i 0.950947 0.309355i \(-0.100113\pi\)
0.113638 + 0.993522i \(0.463750\pi\)
\(500\) −9.35442 + 6.12330i −0.418342 + 0.273842i
\(501\) −8.59143 9.91504i −0.383837 0.442971i
\(502\) 1.94020 6.60771i 0.0865954 0.294917i
\(503\) −9.64950 + 4.40678i −0.430250 + 0.196489i −0.618756 0.785584i \(-0.712363\pi\)
0.188506 + 0.982072i \(0.439636\pi\)
\(504\) 0.651260 4.52962i 0.0290094 0.201765i
\(505\) 6.93460 15.2978i 0.308586 0.680744i
\(506\) −0.0316553 + 0.0636900i −0.00140725 + 0.00283136i
\(507\) 0.241908i 0.0107435i
\(508\) 2.82813 + 0.406624i 0.125478 + 0.0180410i
\(509\) −13.2120 28.9303i −0.585613 1.28231i −0.938057 0.346481i \(-0.887376\pi\)
0.352444 0.935833i \(-0.385351\pi\)
\(510\) −4.91747 4.23697i −0.217749 0.187616i
\(511\) −14.3683 16.5820i −0.635618 0.733542i
\(512\) 0.281733 + 0.959493i 0.0124509 + 0.0424040i
\(513\) −4.02105 + 6.25687i −0.177534 + 0.276248i
\(514\) 0.320723 0.702285i 0.0141465 0.0309765i
\(515\) 40.6160 18.6863i 1.78976 0.823415i
\(516\) −6.14007 + 3.94599i −0.270302 + 0.173712i
\(517\) 0.0135174 0.00194351i 0.000594495 8.54754e-5i
\(518\) 15.1329 2.17578i 0.664902 0.0955985i
\(519\) −10.4737 + 6.73106i −0.459746 + 0.295461i
\(520\) 3.33819 + 7.25582i 0.146389 + 0.318189i
\(521\) 4.17760 9.14766i 0.183024 0.400766i −0.795774 0.605593i \(-0.792936\pi\)
0.978798 + 0.204827i \(0.0656631\pi\)
\(522\) 3.64669 5.67435i 0.159611 0.248360i
\(523\) 3.99855 + 13.6178i 0.174844 + 0.595465i 0.999553 + 0.0299067i \(0.00952102\pi\)
−0.824708 + 0.565558i \(0.808661\pi\)
\(524\) 3.49924 + 4.03834i 0.152865 + 0.176416i
\(525\) 9.62144 + 20.7597i 0.419914 + 0.906029i
\(526\) −0.805570 1.76395i −0.0351245 0.0769120i
\(527\) −8.63783 1.24193i −0.376270 0.0540994i
\(528\) 0.0148302i 0.000645400i
\(529\) 13.8876 + 18.3340i 0.603810 + 0.797128i
\(530\) 6.95733 15.3480i 0.302207 0.666672i
\(531\) 1.22436 8.51564i 0.0531329 0.369547i
\(532\) 30.9600 14.1389i 1.34228 0.613001i
\(533\) −3.65989 + 12.4645i −0.158528 + 0.539895i
\(534\) 6.21779 + 7.17571i 0.269070 + 0.310523i
\(535\) −19.5059 2.74884i −0.843316 0.118843i
\(536\) −4.50246 2.89356i −0.194477 0.124983i
\(537\) 10.2218 + 4.66815i 0.441105 + 0.201446i
\(538\) 3.89321 + 3.37349i 0.167848 + 0.145441i
\(539\) −0.173934 + 0.111780i −0.00749186 + 0.00481472i
\(540\) 0.623966 2.14725i 0.0268512 0.0924028i
\(541\) −0.943040 6.55899i −0.0405445 0.281993i −1.00000 0.000132901i \(-0.999958\pi\)
0.959456 0.281860i \(-0.0909514\pi\)
\(542\) 4.24544 + 6.60603i 0.182357 + 0.283753i
\(543\) −11.1849 9.69173i −0.479988 0.415912i
\(544\) 1.20590 2.64055i 0.0517025 0.113213i
\(545\) −13.0916 + 8.46530i −0.560781 + 0.362613i
\(546\) 15.6834 4.60505i 0.671186 0.197078i
\(547\) −19.6822 + 17.0547i −0.841550 + 0.729207i −0.964748 0.263175i \(-0.915230\pi\)
0.123198 + 0.992382i \(0.460685\pi\)
\(548\) −1.68042 + 5.72299i −0.0717840 + 0.244474i
\(549\) 2.74195 + 6.00403i 0.117024 + 0.256246i
\(550\) −0.0404374 0.0621542i −0.00172426 0.00265027i
\(551\) 50.1672 2.13719
\(552\) 4.29463 + 2.13452i 0.182791 + 0.0908513i
\(553\) 72.9164i 3.10072i
\(554\) −0.121682 + 0.846317i −0.00516977 + 0.0359566i
\(555\) 7.47041 0.0209062i 0.317101 0.000887419i
\(556\) −8.11356 2.38236i −0.344092 0.101034i
\(557\) −8.62103 + 7.47017i −0.365285 + 0.316521i −0.818092 0.575087i \(-0.804968\pi\)
0.452807 + 0.891609i \(0.350423\pi\)
\(558\) −0.846947 2.88444i −0.0358541 0.122108i
\(559\) −21.9314 14.0945i −0.927599 0.596132i
\(560\) −7.71456 + 6.72260i −0.326000 + 0.284082i
\(561\) 0.0281918 0.0325351i 0.00119026 0.00137363i
\(562\) −10.4080 16.1952i −0.439036 0.683153i
\(563\) −22.9603 + 3.30119i −0.967662 + 0.139129i −0.607985 0.793948i \(-0.708022\pi\)
−0.359677 + 0.933077i \(0.617113\pi\)
\(564\) −0.131051 0.911481i −0.00551825 0.0383803i
\(565\) −44.3956 + 6.50998i −1.86774 + 0.273877i
\(566\) −6.70565 + 7.73873i −0.281860 + 0.325283i
\(567\) −4.16265 1.90102i −0.174815 0.0798353i
\(568\) −7.06740 + 10.9971i −0.296542 + 0.461428i
\(569\) −21.0427 + 6.17871i −0.882158 + 0.259025i −0.691278 0.722589i \(-0.742952\pi\)
−0.190879 + 0.981614i \(0.561134\pi\)
\(570\) 15.9440 4.73010i 0.667822 0.198122i
\(571\) −21.7226 6.37833i −0.909062 0.266925i −0.206416 0.978464i \(-0.566180\pi\)
−0.702646 + 0.711539i \(0.747998\pi\)
\(572\) −0.0481842 + 0.0220050i −0.00201468 + 0.000920074i
\(573\) 2.78587 + 0.400547i 0.116381 + 0.0167331i
\(574\) −16.6434 −0.694684
\(575\) −23.8193 + 2.76424i −0.993333 + 0.115277i
\(576\) 1.00000 0.0416667
\(577\) 7.34368 + 1.05586i 0.305721 + 0.0439561i 0.293468 0.955969i \(-0.405191\pi\)
0.0122531 + 0.999925i \(0.496100\pi\)
\(578\) 7.79856 3.56148i 0.324377 0.148138i
\(579\) −20.3001 5.96066i −0.843645 0.247716i
\(580\) −14.4596 + 4.28972i −0.600404 + 0.178121i
\(581\) −61.6946 + 18.1152i −2.55953 + 0.751544i
\(582\) 3.47530 5.40767i 0.144056 0.224155i
\(583\) 0.101662 + 0.0464274i 0.00421040 + 0.00192283i
\(584\) 3.13980 3.62352i 0.129926 0.149942i
\(585\) 7.90239 1.15877i 0.326723 0.0479094i
\(586\) 2.42700 + 16.8802i 0.100259 + 0.697314i
\(587\) 7.58031 1.08988i 0.312873 0.0449843i 0.0159101 0.999873i \(-0.494935\pi\)
0.296963 + 0.954889i \(0.404026\pi\)
\(588\) 7.53737 + 11.7284i 0.310836 + 0.483670i
\(589\) 14.6419 16.8977i 0.603310 0.696257i
\(590\) −14.5033 + 12.6384i −0.597092 + 0.520316i
\(591\) −19.4914 12.5263i −0.801767 0.515264i
\(592\) 0.941236 + 3.20555i 0.0386845 + 0.131747i
\(593\) 24.3459 21.0959i 0.999768 0.866304i 0.00874074 0.999962i \(-0.497218\pi\)
0.991028 + 0.133658i \(0.0426722\pi\)
\(594\) 0.0142294 + 0.00417814i 0.000583841 + 0.000171431i
\(595\) 29.7041 0.0831279i 1.21775 0.00340791i
\(596\) −1.17559 + 8.17640i −0.0481540 + 0.334919i
\(597\) 18.3455i 0.750831i
\(598\) −0.562845 + 17.1207i −0.0230165 + 0.700119i
\(599\) −8.02915 −0.328062 −0.164031 0.986455i \(-0.552450\pi\)
−0.164031 + 0.986455i \(0.552450\pi\)
\(600\) −4.19107 + 2.72670i −0.171100 + 0.111317i
\(601\) −12.0305 26.3431i −0.490734 1.07456i −0.979371 0.202070i \(-0.935233\pi\)
0.488637 0.872487i \(-0.337494\pi\)
\(602\) 9.40997 32.0474i 0.383522 1.30615i
\(603\) −4.04484 + 3.50487i −0.164719 + 0.142729i
\(604\) −0.736143 + 0.216151i −0.0299532 + 0.00879506i
\(605\) −20.6544 + 13.3556i −0.839720 + 0.542982i
\(606\) 3.12038 6.83269i 0.126757 0.277559i
\(607\) −31.6462 27.4216i −1.28448 1.11301i −0.987415 0.158150i \(-0.949447\pi\)
−0.297064 0.954858i \(-0.596007\pi\)
\(608\) 4.02105 + 6.25687i 0.163075 + 0.253750i
\(609\) 4.39283 + 30.5528i 0.178006 + 1.23806i
\(610\) 4.11849 14.1729i 0.166753 0.573844i
\(611\) 2.76701 1.77825i 0.111941 0.0719402i
\(612\) −2.19385 1.90098i −0.0886810 0.0768425i
\(613\) −36.4567 16.6492i −1.47247 0.672455i −0.492266 0.870445i \(-0.663831\pi\)
−0.980204 + 0.197990i \(0.936559\pi\)
\(614\) 24.1859 + 15.5433i 0.976063 + 0.627277i
\(615\) −8.05292 1.13484i −0.324725 0.0457613i
\(616\) −0.0444426 0.0512895i −0.00179064 0.00206651i
\(617\) 10.7674 36.6703i 0.433478 1.47629i −0.396260 0.918138i \(-0.629692\pi\)
0.829738 0.558152i \(-0.188490\pi\)
\(618\) 18.1874 8.30589i 0.731603 0.334112i
\(619\) −3.82211 + 26.5833i −0.153623 + 1.06847i 0.756457 + 0.654043i \(0.226929\pi\)
−0.910081 + 0.414431i \(0.863981\pi\)
\(620\) −2.77533 + 6.12242i −0.111460 + 0.245882i
\(621\) 3.25800 3.51930i 0.130739 0.141225i
\(622\) 4.78711i 0.191946i
\(623\) −43.0079 6.18360i −1.72307 0.247741i
\(624\) 1.48380 + 3.24907i 0.0593995 + 0.130067i
\(625\) 10.1302 22.8556i 0.405207 0.914225i
\(626\) 12.6882 + 14.6429i 0.507122 + 0.585250i
\(627\) 0.0310751 + 0.105832i 0.00124102 + 0.00422653i
\(628\) 10.5984 16.4914i 0.422923 0.658080i
\(629\) 4.02877 8.82177i 0.160637 0.351747i
\(630\) 4.27684 + 9.29604i 0.170393 + 0.370363i
\(631\) −21.2884 + 13.6813i −0.847480 + 0.544642i −0.890788 0.454420i \(-0.849847\pi\)
0.0433081 + 0.999062i \(0.486210\pi\)
\(632\) −15.7717 + 2.26762i −0.627363 + 0.0902012i
\(633\) 10.5960 1.52347i 0.421152 0.0605525i
\(634\) −5.58285 + 3.58788i −0.221723 + 0.142493i
\(635\) −5.80412 + 2.67031i −0.230330 + 0.105968i
\(636\) 3.13061 6.85508i 0.124137 0.271822i
\(637\) −26.9223 + 41.8920i −1.06670 + 1.65982i
\(638\) −0.0281820 0.0959792i −0.00111574 0.00379985i
\(639\) 8.56052 + 9.87937i 0.338649 + 0.390822i
\(640\) −1.69400 1.45958i −0.0669612 0.0576949i
\(641\) 7.65167 + 16.7548i 0.302223 + 0.661775i 0.998427 0.0560684i \(-0.0178565\pi\)
−0.696204 + 0.717844i \(0.745129\pi\)
\(642\) −8.71985 1.25373i −0.344145 0.0494806i
\(643\) 48.9713i 1.93124i 0.259956 + 0.965621i \(0.416292\pi\)
−0.259956 + 0.965621i \(0.583708\pi\)
\(644\) −21.2495 + 5.48785i −0.837346 + 0.216252i
\(645\) 6.73818 14.8645i 0.265316 0.585289i
\(646\) 3.07262 21.3705i 0.120891 0.840813i
\(647\) 29.5217 13.4821i 1.16062 0.530035i 0.260409 0.965498i \(-0.416143\pi\)
0.900207 + 0.435463i \(0.143415\pi\)
\(648\) 0.281733 0.959493i 0.0110675 0.0376924i
\(649\) −0.0835517 0.0964238i −0.00327969 0.00378496i
\(650\) −15.0780 9.57119i −0.591406 0.375413i
\(651\) 11.5731 + 7.43760i 0.453587 + 0.291502i
\(652\) 9.81635 + 4.48298i 0.384438 + 0.175567i
\(653\) 2.13136 + 1.84684i 0.0834066 + 0.0722722i 0.695566 0.718462i \(-0.255154\pi\)
−0.612160 + 0.790734i \(0.709699\pi\)
\(654\) −5.86530 + 3.76940i −0.229351 + 0.147395i
\(655\) −11.4738 3.33416i −0.448318 0.130276i
\(656\) −0.517593 3.59994i −0.0202086 0.140554i
\(657\) −2.59216 4.03348i −0.101130 0.157361i
\(658\) 3.18473 + 2.75959i 0.124154 + 0.107580i
\(659\) 5.49972 12.0427i 0.214239 0.469117i −0.771751 0.635925i \(-0.780619\pi\)
0.985989 + 0.166808i \(0.0533459\pi\)
\(660\) −0.0180063 0.0278467i −0.000700895 0.00108393i
\(661\) −41.1214 + 12.0743i −1.59944 + 0.469637i −0.955390 0.295348i \(-0.904564\pi\)
−0.644048 + 0.764985i \(0.722746\pi\)
\(662\) −7.49288 + 6.49261i −0.291219 + 0.252343i
\(663\) 2.92118 9.94863i 0.113449 0.386373i
\(664\) −5.83692 12.7811i −0.226516 0.496001i
\(665\) −40.9667 + 64.1394i −1.58862 + 2.48722i
\(666\) 3.34088 0.129457
\(667\) −31.8506 5.65324i −1.23326 0.218894i
\(668\) 13.1195i 0.507608i
\(669\) 2.27939 15.8535i 0.0881265 0.612933i
\(670\) 11.9676 0.0334917i 0.462348 0.00129390i
\(671\) 0.0939214 + 0.0275778i 0.00362580 + 0.00106463i
\(672\) −3.45846 + 2.99677i −0.133413 + 0.115603i
\(673\) −6.73450 22.9356i −0.259596 0.884102i −0.981395 0.192000i \(-0.938503\pi\)
0.721799 0.692103i \(-0.243315\pi\)
\(674\) −3.90427 2.50912i −0.150387 0.0966478i
\(675\) 1.43549 + 4.78951i 0.0552521 + 0.184348i
\(676\) 0.158416 0.182822i 0.00609294 0.00703162i
\(677\) 18.4622 + 28.7278i 0.709560 + 1.10410i 0.989563 + 0.144098i \(0.0460282\pi\)
−0.280003 + 0.959999i \(0.590335\pi\)
\(678\) −19.8624 + 2.85578i −0.762810 + 0.109675i
\(679\) 4.18637 + 29.1169i 0.160658 + 1.11740i
\(680\) 0.941746 + 6.42235i 0.0361143 + 0.246286i
\(681\) 15.2885 17.6438i 0.585856 0.676113i
\(682\) −0.0405537 0.0185203i −0.00155288 0.000709178i
\(683\) −21.4148 + 33.3221i −0.819416 + 1.27504i 0.139180 + 0.990267i \(0.455553\pi\)
−0.958596 + 0.284769i \(0.908083\pi\)
\(684\) 7.13628 2.09540i 0.272863 0.0801197i
\(685\) −3.79333 12.7864i −0.144936 0.488544i
\(686\) −30.4792 8.94949i −1.16370 0.341693i
\(687\) −8.84717 + 4.04037i −0.337541 + 0.154150i
\(688\) 7.22443 + 1.03872i 0.275429 + 0.0396007i
\(689\) 26.9178 1.02549
\(690\) −10.6557 + 1.20639i −0.405657 + 0.0459264i
\(691\) −23.4616 −0.892522 −0.446261 0.894903i \(-0.647245\pi\)
−0.446261 + 0.894903i \(0.647245\pi\)
\(692\) 12.3234 + 1.77184i 0.468467 + 0.0673553i
\(693\) −0.0617328 + 0.0281924i −0.00234503 + 0.00107094i
\(694\) 2.45881 + 0.721973i 0.0933353 + 0.0274057i
\(695\) 18.1275 5.37786i 0.687615 0.203994i
\(696\) −6.47189 + 1.90032i −0.245316 + 0.0720314i
\(697\) −5.70789 + 8.88166i −0.216202 + 0.336417i
\(698\) −10.8083 4.93599i −0.409101 0.186830i
\(699\) −3.03831 + 3.50640i −0.114919 + 0.132624i
\(700\) 6.32334 21.9899i 0.239000 0.831139i
\(701\) 1.61932 + 11.2626i 0.0611608 + 0.425382i 0.997280 + 0.0737007i \(0.0234810\pi\)
−0.936120 + 0.351682i \(0.885610\pi\)
\(702\) 3.53549 0.508327i 0.133439 0.0191856i
\(703\) 13.4338 + 20.9035i 0.506667 + 0.788389i
\(704\) 0.00971169 0.0112079i 0.000366023 0.000422413i
\(705\) 1.35277 + 1.55238i 0.0509482 + 0.0584659i
\(706\) −7.15532 4.59844i −0.269294 0.173065i
\(707\) 9.68428 + 32.9816i 0.364215 + 1.24040i
\(708\) −6.50187 + 5.63391i −0.244355 + 0.211735i
\(709\) 31.2658 + 9.18047i 1.17421 + 0.344780i 0.809940 0.586513i \(-0.199500\pi\)
0.364272 + 0.931292i \(0.381318\pi\)
\(710\) −0.0818022 29.2304i −0.00306998 1.09700i
\(711\) −2.26762 + 15.7717i −0.0850425 + 0.591484i
\(712\) 9.49482i 0.355834i
\(713\) −11.2002 + 9.07820i −0.419450 + 0.339981i
\(714\) 13.2841 0.497146
\(715\) 0.0637581 0.0998227i 0.00238442 0.00373316i
\(716\) −4.66815 10.2218i −0.174457 0.382008i
\(717\) −6.82470 + 23.2428i −0.254873 + 0.868018i
\(718\) 3.88882 3.36968i 0.145130 0.125755i
\(719\) 8.90966 2.61611i 0.332274 0.0975645i −0.111340 0.993782i \(-0.535514\pi\)
0.443614 + 0.896218i \(0.353696\pi\)
\(720\) −1.87771 + 1.21417i −0.0699781 + 0.0452494i
\(721\) −38.0094 + 83.2289i −1.41554 + 3.09961i
\(722\) 27.4467 + 23.7827i 1.02146 + 0.885101i
\(723\) 6.72639 + 10.4665i 0.250157 + 0.389252i
\(724\) 2.10621 + 14.6490i 0.0782768 + 0.544427i
\(725\) 21.9426 25.6113i 0.814926 0.951180i
\(726\) −9.25360 + 5.94693i −0.343433 + 0.220711i
\(727\) 33.3710 + 28.9161i 1.23766 + 1.07244i 0.994744 + 0.102392i \(0.0326496\pi\)
0.242917 + 0.970047i \(0.421896\pi\)
\(728\) −14.8684 6.79015i −0.551058 0.251660i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −1.49606 + 10.6162i −0.0553718 + 0.392922i
\(731\) −13.8747 16.0123i −0.513175 0.592235i
\(732\) 1.85958 6.33314i 0.0687320 0.234080i
\(733\) −35.4262 + 16.1786i −1.30850 + 0.597570i −0.942861 0.333188i \(-0.891876\pi\)
−0.365636 + 0.930758i \(0.619148\pi\)
\(734\) 3.58578 24.9397i 0.132354 0.920540i
\(735\) −28.3932 12.8708i −1.04730 0.474748i
\(736\) −1.84785 4.42555i −0.0681125 0.163128i
\(737\) 0.0793723i 0.00292372i
\(738\) −3.59994 0.517593i −0.132516 0.0190529i
\(739\) −11.0207 24.1319i −0.405403 0.887708i −0.996694 0.0812498i \(-0.974109\pi\)
0.591291 0.806458i \(-0.298618\pi\)
\(740\) −5.65945 4.87628i −0.208046 0.179256i
\(741\) 17.3969 + 20.0771i 0.639091 + 0.737551i
\(742\) 9.71602 + 33.0897i 0.356686 + 1.21476i
\(743\) −11.8932 + 18.5062i −0.436320 + 0.678927i −0.987882 0.155207i \(-0.950396\pi\)
0.551562 + 0.834134i \(0.314032\pi\)
\(744\) −1.24883 + 2.73455i −0.0457841 + 0.100253i
\(745\) −7.72012 16.7803i −0.282843 0.614782i
\(746\) −14.8820 + 9.56408i −0.544869 + 0.350166i
\(747\) −13.9078 + 1.99964i −0.508859 + 0.0731629i
\(748\) −0.0426119 + 0.00612667i −0.00155805 + 0.000224013i
\(749\) 33.9144 21.7954i 1.23920 0.796388i
\(750\) 4.55894 10.2086i 0.166469 0.372766i
\(751\) −11.5407 + 25.2706i −0.421126 + 0.922137i 0.573559 + 0.819165i \(0.305562\pi\)
−0.994684 + 0.102972i \(0.967165\pi\)
\(752\) −0.497851 + 0.774671i −0.0181548 + 0.0282494i
\(753\) 1.94020 + 6.60771i 0.0707048 + 0.240798i
\(754\) −15.7772 18.2079i −0.574573 0.663093i
\(755\) 1.11982 1.29967i 0.0407543 0.0472998i
\(756\) 1.90102 + 4.16265i 0.0691394 + 0.151394i
\(757\) −31.5746 4.53974i −1.14760 0.164999i −0.457836 0.889037i \(-0.651375\pi\)
−0.689761 + 0.724037i \(0.742284\pi\)
\(758\) 31.4950i 1.14395i
\(759\) −0.00780326 0.0706936i −0.000283240 0.00256601i
\(760\) −15.1473 6.86635i −0.549449 0.249069i
\(761\) −7.21184 + 50.1594i −0.261429 + 1.81828i 0.260709 + 0.965417i \(0.416044\pi\)
−0.522138 + 0.852861i \(0.674866\pi\)
\(762\) −2.59901 + 1.18693i −0.0941524 + 0.0429980i
\(763\) 8.98886 30.6132i 0.325418 1.10827i
\(764\) −1.84312 2.12707i −0.0666816 0.0769547i
\(765\) 6.42752 + 0.905786i 0.232387 + 0.0327487i
\(766\) 29.4209 + 18.9077i 1.06302 + 0.683161i
\(767\) −27.9524 12.7654i −1.00930 0.460933i
\(768\) −0.755750 0.654861i −0.0272708 0.0236303i
\(769\) 21.4845 13.8072i 0.774749 0.497901i −0.0925380 0.995709i \(-0.529498\pi\)
0.867287 + 0.497808i \(0.165862\pi\)
\(770\) 0.145724 + 0.0423459i 0.00525154 + 0.00152604i
\(771\) 0.109875 + 0.764196i 0.00395704 + 0.0275218i
\(772\) 11.4384 + 17.7985i 0.411678 + 0.640583i
\(773\) −20.7981 18.0217i −0.748057 0.648195i 0.195009 0.980802i